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arXiv · 1812.06914

Canonical coverings of Enriques surfaces in characteristic $2$

Yuya Matsumoto
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Abstract

Let $\bar{Y}$ be a normal surface that is the canonical $\mu_2$- or $\alpha_2$-covering of a classical or supersingular Enriques surface in characteristic $2$. We determine all possible configurations of singularities on $\bar{Y}$, and for each configuration we describe which type of Enriques surfaces (classical or supersingular) appear as quotients of $\bar{Y}$.

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Yuya Matsumoto. 2018-12-17. Canonical coverings of Enriques surfaces in characteristic $2$. https://doi.org/10.2969/jmsj%2F86318631

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